Question

According to the graph, what is the value of the constant in the equationbelow10-(3,9.6)Height = Constant. Width(2,6.4)Height(1.3.2)+6 (0.5, 1.6)WidthO A. 2B. 9.6Ο Ο Ο ΟC. 3.2D

Answer 1

Given different coordinates below

`\begin{gathered} (3,9.6) \\ (2,6.4) \\ (1,3.2) \\ (0.5,1.6) \end{gathered}`

The equation that connects the height to the width is given as

`\begin{gathered} h=c* w \\ h=\text{height} \\ c=\text{constant} \\ w=\text{width} \end{gathered}`

Pick a coordinate and substitute into the equation

`\begin{gathered} (w,h)\rightarrow(3,9.6)\colon w=3,h=9.6 \\ h=c* w \\ c=(h)/(w)=(9.6)/(3) \\ c=3.2 \end{gathered}`